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Finding the Fourth Proportional to 165,167.64, 227,931.56 and 89,716.14

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Solution

The fourth proportional to 165,167.64, 227,931.56 and 89,716.14 is: 123,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,167.64 : 227,931.56 = 89,716.14 : x
  2. Step 2: Convert to fraction form
    165,167.64/227,931.56 = 89,716.14/x
  3. Step 3: Cross multiply
    165,167.64x = 227,931.56 × 89,716.14
  4. Step 4: Simplify right side
    165,167.64x = 20,449,139,747.38
  5. Step 5: Solve for x
    x = 20,449,139,747.38/165,167.64
  6. Step 6: Final answer
    x = 123,808.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.